2(k+4)=3(2k-4)

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Solution for 2(k+4)=3(2k-4) equation:


Simplifying
2(k + 4) = 3(2k + -4)

Reorder the terms:
2(4 + k) = 3(2k + -4)
(4 * 2 + k * 2) = 3(2k + -4)
(8 + 2k) = 3(2k + -4)

Reorder the terms:
8 + 2k = 3(-4 + 2k)
8 + 2k = (-4 * 3 + 2k * 3)
8 + 2k = (-12 + 6k)

Solving
8 + 2k = -12 + 6k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-6k' to each side of the equation.
8 + 2k + -6k = -12 + 6k + -6k

Combine like terms: 2k + -6k = -4k
8 + -4k = -12 + 6k + -6k

Combine like terms: 6k + -6k = 0
8 + -4k = -12 + 0
8 + -4k = -12

Add '-8' to each side of the equation.
8 + -8 + -4k = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -4k = -12 + -8
-4k = -12 + -8

Combine like terms: -12 + -8 = -20
-4k = -20

Divide each side by '-4'.
k = 5

Simplifying
k = 5

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